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 A305754 Inverse Euler transform of n^n. 2
 1, 3, 23, 223, 2800, 42576, 763220, 15734388, 366715248, 9533817400, 273549419552, 8586984241870, 292755986184548, 10772849583399474, 425587711650564816, 17966217346985801150, 807152054953801845760, 38451365602113352159320, 1936082850634342992601636 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Seiichi Manyama, Table of n, a(n) for n = 1..386 N. J. A. Sloane, Transforms FORMULA Product_{k>=1} 1/(1-x^k)^{a(k)} = Sum_{n>=0} (n * x)^n. a(n) ~ n^n. - Vaclav Kotesovec, Oct 09 2019 EXAMPLE (1-x)^(-1) * (1-x^2)^(-3) * (1-x^3)^(-23) * (1-x^4)^(-223) * ... = 1 + x + 4*x^2 + 27*x^3 + 256*x^4 + ... . MATHEMATICA n = 20; s = {}; For[i = 1, i <= n, i++, AppendTo[s, i*i^i - Sum[s[[d]]*(i-d)^(i-d), {d, i - 1}]]]; Table[Sum[If[Divisible[i, d], MoebiusMu[i/d], 0]*s[[d]], {d, 1, i}]/i, {i, n}] (* Jean-François Alcover, May 10 2019 *) CROSSREFS Cf. A000312, A112354, A305787. Sequence in context: A316085 A068691 A093135 * A202997 A093162 A328808 Adjacent sequences:  A305751 A305752 A305753 * A305755 A305756 A305757 KEYWORD nonn AUTHOR Seiichi Manyama, Jun 10 2018 STATUS approved

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Last modified August 13 04:54 EDT 2020. Contains 336442 sequences. (Running on oeis4.)